81. Math Forum: Algebra & Calculus Sketches - Ruth Carver For calculus, gives the tangent line problem and its solution. http://www.mathforum.org/sum95/ruth/sketches/algcalc.sketches.html

The Math Forum - Corner for Interactive Geometry Software Algebra and Calculus Sketches by Ruth Carver Sketchpad Resources Main CIGS Page Teacher Exchange: Forum Web Units Viewing sketches on this page requires The Geometer's Sketchpad. For information about purchasing the software, downloading demo versions, and setting up Sketchpad as a helper application for your Web browser, see the Forum's Dynamic Geometry Software page. Algebra Line Sketch One line, Y=X, is fixed. You can manipulate the position of another line, Y=MX+B, by altering the values of M or B. There are also questions to go with this graph. Parabola Sketch 1 Similar to the first graph, here there's a fixed parabola Y=X^2, and one to experiment with, Y=AX^2+C. Parabola Sketch 2 Change even more variables by comparing Y=X^2 with Y=A(X-H)^2+K. Calculus Tangent Line Problem Given a function f and a point P on f, find an equation of the tangent to the graph at P. Why would you want to do this, and how would you go about solving this problem? These five sketches take you step-by-step through the solution of the tangent line problem: Sketch 1 Sketch 2 Sketch 3 Sketch 4 ... Help http://mathforum.org/

82. Calculus calculus.com MathDictionary.com is a free resource Guide to Mathematical Terms, Strategies and Tables from an Elementary Math to Algebra and Differential http://www.calculus.com/

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83. Calculus Made Easier: A Calculus Tutorial An introduction to the basic concepts. The derivative and integral are explained. Resource links included. http://www.wtv-zone.com/Angelaruth49/Calculus.html

Calculus Made Easier by Angela Olson Earth Image by NASA Math Graphics by Douglas N.Arnold at http://www.math.psu.edu/dna/graphics.html Index Introduction The Derivative Integration Helpful Links And Resources There are two components to calculus. One is the measure the rate of change at any given point on a curve. This rate of change is called the derivative. The simplest example of a rate of change of a function is the slope of a line. We take this one step further to get the rate of change at a point on a line. The other part of calculus is used to measure the exact area under a curve. This is called the integral. If you wanted to find the area of a semicircle, you could use integration to get the answer. The two parts; the derivative and the integral are inverse functions of each other. That is, they cancel each other out. Just as (x =x, the derivative of (integral (x)) = x and derivative of (integral (f (x)) = f(x). The derivative is a composite function. This means it is a function acting on another funcion. In fact, the function, is the input instead of just x. The derivative, then takes a type of formula and turns it into another simiilar type of formula. So, a polynomial will always yield a polynomial derivative. A trigonomic function will always yield a trigonomic derivative. There are a few exceptions, but this is generally the case. This is also true for the integral. Back To Top Geometrically, the derivative can be perceived as the slope of the tangent line to a curve at a given point. This is roughly how steep the curve is at a given point. We can easily find the rate of change of a line just by finding the slope. But, most formulas are not as simple as a line and they're usually curved. We use the basic formula of a line to get the derivative. If you remember the slope of a line is:

84. Karl's Calculus Tutor: Starting Page For 1st Year Calculus Tutorial Covers calculus of limits, continuity and derivatives in some detail. Also covers integrals and methods of integration. http://www.karlscalculus.org/

Karl's Calculus Tutor Home Page last update 11-Apr-2010 Welcome to Karl's Calculus Tutor Greetings to Fall 2010 Semester Students Hello Twitter users Karlscalculus now tweets Enter the tutorial (below) or search this website for a calculus topic. You will find coverage of limits, continuity, derivatives, related rates, optimization, L'Hopital's rule, integration, and much more. There are dozens of problems worked out for you step-by-step. If you are having difficulty with a calculus topic, you are encouraged to go to the appropriate section, look at the text, and then follow along with the worked problems to learn how you can do similar problems on your own. There is also remedial coverage of algebra topics, number systems, exponentials, logs, trig functions and trigonometry, if you are in need of review on these topics. Email help on math problems is available, but please read the instructions for emailing me first. ENTER Karl's Calculus Tutor Section Index 1) Number Systems 2) Limits 3) Continuity 4) Derivatives ... Special Interest Pages From B. Cherkas at CUNY: A Word of Advice to the Math-Flustered Whenever a problem has you baffled, listen to your mind's quietest voices, for you will hear the solution in their whispers.

85. Calculus Videos Also, visit our calculus I KeyConcepts Page. Contents The Fundamental Theorem of calculus (26 minutes, SV3 » 70 MB, H.264 » 26 MB) http://www.online.math.uh.edu/HoustonACT/videocalculus/index.html

Video Calculus , Department of Mathematics, University of Houston Created by Selwyn Hollis To view these lectures, you need a high speed internet connection, Version 7 of Apple's QuickTime player inst alled on your computer (it's free), and we highly recommend that you use the Mozilla Firefox Browser (also free). Two versions of each video are provided. The first uses the Sorenson Video 3 format (SV3) and is viewable with QuickTime . The (relatively) new QuickTime will allow you to view the smaller H.264 versions of the videos. We recommend that you choose the H.264 versions of the videos and view them using QuickTime 7. Directions: Use a high speed connection to access the videos below. Either Right Click on the links and use Save As to download the video to your computer. Then play it with Version 7 of Apple's QuickTime player. or Play the videos directly from this site using the Mozilla Firefox Browser . Of course, you still need Version 7 of Apple's QuickTime Player. Also, visit our Calculus I Key-Concepts Page.

86. Math.com Homework Help Calculus Free math lessons and math homework help from basic math to algebra, geometry and beyond. Students, teachers, parents, and everyone can find solutions to their math problems http://math.com/homeworkhelp/Calculus.html

87. Calc101.com Automatic Calculus, Linear Algebra, And Polynomials Check calculus homework. Enter a function and click for a step-by-step derivative or integral with each step explained. http://www.calc101.com/

Calc101.com Automatic Calculus and Algebra Help derivatives, integrals, graphs, linear equations, matrix algebra automatic calculus help on the web NOW... no software download, no sign up hassle anytime, anywhere solutions just like your math textbook free graphs... see zeros, y-intercept, min/max, inflection points see intervals of increase, decrease, concavity, vertical asymptotes free steps... first and second derivatives, partial fractions systems of linear equations and over 80 matrix algebra operations free answers... buy a password to get all the steps 99.9% of freshman indefinite integrals (antiderivatives) determinants and matrix inverses (using row reduction) FAQs legal email us français ... Deutsch easy-to-use, live, TRY IT: derivatives integrals graphs partial fractions ... long division stored derivatives and integrals product rule quotient rule chain rule substitution ... geometry animations

88. Calculus And Mathematica | At The University Of Illinois Urbana-Champaign calculus and Mathematica. At the University of Illinois UrbanaChampaign Copyright © 2008 calculus Mathematica at University of Illinois http://www-cm.math.uiuc.edu/

Calculus and Mathematica At the University of Illinois Urbana-Champaign Secondary links Dept of Mathematics Website Classcomm Lab Hours The lab schedule can be found here. please apply. We are currently looking for NetMath mentors for a variety of courses. We hire NetMath mentors and Class Assistants at the beginning of semesters and occasionally during the semester as need arises. Mathematica News Mathematica for students through CITES is now available. It can be obtained here . The cost is $25 without media (45 MB download) or $30 with the CD. It expires on 9/1/11 at which time it needs to be renewed. It will be renewed most likely at $25 again and will last until the following August or September. Comments from Students Tech Support Techs support both the lab machines and the software used in this program. In the event of a problem, send an e-mail to tech@cm.math.uiuc.edu People F.A.Q. Courses Syllabi Student Homework Tips Homework Examples Download Lessons Lab Schedule Staff Grading Tips Instructor Tips Handin Systems Classcomm Links MathEverywhere NetMath OSU Program Wolfram ... Design by niGraphic

89. Advanced Calculus And Analysis MA1002 Covers functions, limits, convergence, divergence, sequences, differentiability and multivariable calculus. http://www.maths.abdn.ac.uk/~igc/tch/ma2001/notes/notes.html

Next: Foreword Up: MA2001 Home Page Contents Index Advanced Calculus and Analysis Ian Craw Foreword These Notes Acknowledgements Contents ... The probability integral e d x The number e is irrational Differentiation of Functions of Several Variables Functions of Several Variables Graphing functions of Several Variables Continuity ... About this document ... Ian Craw 2002-01-07

90. Calculus In Encyclopedia calculus in Encyclopedia in Encyclopedia http://www.tutorgig.com/ed/Calculus

91. Focus On Calculus: Topics in calculus that are important in physics http://omega.albany.edu:8008/mat214dir/Baierlein.html

Focus on Calculus A Physicist's View of Teaching Calculus Ralph Baierlein, Wesleyan University What topics in calculus would physicists like to see their students learn? A lot of topics, of course, but the need to economize in this article forces me to economize in what I might ask of a calculus teacher, who is strapped for time, if not for space. Here are some highlights- some areas of especial concern to the study of physics. Exponentials and logarithms That the derivative of an exponential function is proportional to the function itself is the most important property of those functions. A physicist would like to start with that property, as displayed here: Numerical exploration with base (b=2) yields a coefficient of b X that is less than 1; trying (b = 10) yields a coefficient greater than 1. In between 2 and 10 there ought to be a number that yields 1, and thereby e enters the scene. Then it is a matter of small, relatively easy steps to develop the topic and to finish with ln y as the integral of one-over-x dx. That logarithmic relation always puzzles students, and so it is best to place it last, not at the start, where it might derail the entire development. Expansions and approximations Almost every ``exactly-solved'' problem in physics is based on some initial approximation. To be sure, solutions have become famous as exact solutions to nonlinear differential equations, but those equations themselves are merely approximations to more fundamental equations. Physics students need to become handy with the Taylor expansion and the binomial expansion. Their level of expertise should enable them to apply those expansions to functions like

92. Calculus Software: Homework Help calculus software designed to solve calculus homework problems with stepby-step help. http://www.bagatrix.com/calculus.htm

ulm_save_doc=true Home Products Statistics Solved! Finite Math Solved! ... Contact Us Next Steps Buy Now Academic Lab Packs Reviews System Requirements ... Online Demo Screenshots Solve YOUR calculus homework problems Get step-by-step answers to your calculus homework Create graphs of your calculus problems Create tests and quizzes ... Products Calculus is hard, but doing your calculus homework doesn't have to be. lets you enter in your actual homework problems and gives you the answers with step-by-step explanations, allowing you to finish your assignments fast while improving your grades. With additional powerful features including infinite example problems, practice tests, progress tracking, and a math document designer, provides you with the tools you'll need to succeed in calculus.

93. Exambot - Your Final Answer Practice exams for applied calculus and physics in PDF and HTML formats. Detailed solutions to answers are given. http://www.exambot.com/

Check one: Home Procrastinate Study My Exambot Help Math exams, calculus exams, science exams, economics exams! University exams with solutions! Welcome to Exambot, the Ultimate Science and Math Study Guide. Exambot Features Take a Tour of Exambot See how Exambot will help you to get a A. Or at least avoid failing... At-a-glance Guide to Exambot A one-page guide to finding the material of relevance to you and your studies. Build Your Own Practice Exams Exambot's custom exam generator lets you design practice exams that are custom-tailored to the topics and levels you need practice on. Very Handy Procrastination Tool Whenever you need another excuse to avoid studying, visit our random procrastination page, and let your marks slip away... Exambot Subjects Mathematics Exams, problems, and references for single variable calculus, series, applied calculus, and analytic geometry. Physics Exams, problems, and references for Newtonian mechanics, oscillations and waves, optics, acoustics, and fluid mechanics. Economics Exams, problems, and references for 1st Year Microeconomics.

94. World Web Math: Calculus Index Nov 5, 1998 calculus Index. Paths Independent Study. Topics Summary; Limits. Formal definition of limits The Squeeze Theorem Useful Trigonometric http://web.mit.edu/wwmath/calculus/index.html

Calculus Index Paths: Independent Study Topics: Summary Limits Formal definition of limits The Squeeze Theorem Useful Trigonometric Limits Differentiation Table of derivatives Definition of differentiation The Notation of Differentiation Rules of Differentiation Derivatives of polynomial functions The Product Rule The Quotient Rule The chain rule ... Differentiation of inverse functions Derivatives of Trigonometric functions Derivative of sine Derivatives of cosine Derivatives of other trigonometric functions Derivatives of inverse trigonometric functions Derivatives of Logarithmic Functions Euler's magic number/ Derivative of exponentials Differentiation of logarithms Derivatives of hyperbolic functions Applications of Differentiation Integration Methods of integration Back to the World Web Math Home Page Back to the World Web Math Categories Page watko@mit.edu Last modified November 5, 1998

95. Calculus Topics in calculus Fundamental theorem Limits of functions Continuity Vector calculus Matrix calculus Mean value theorem Differentiation Product rule http://schools-wikipedia.org/wp/c/Calculus.htm

Calculus 2008/9 Schools Wikipedia Selection . Related subjects: Mathematics Topics in calculus Fundamental theorem Limits of functions Continuity Vector calculus Matrix calculus Mean value theorem Differentiation Product rule Quotient rule Chain rule Implicit differentiation Related rates List of differentiation identities Integration Lists of integrals Improper integrals Integration by: parts, disks, cylindrical shells, substitution, trigonometric substitution, partial fractions, changing order Calculus Latin calculus , a small stone used for counting) is a branch of mathematics that includes the study of limits derivatives integrals , and infinite series, and constitutes a major part of modern university education. Historically, it was sometimes referred to as "the calculus", but that usage is seldom seen today. Calculus has widespread applications in science and engineering and is used to solve complicated problems for which algebra alone is insufficient. Calculus builds on algebra trigonometry , and analytic geometry and includes two major branches

96. Free Calculus Tutorials And Problems Oct 8, 2010 Interactive and analytical tutorials and problems with detailed solutions are presented. http://www.analyzemath.com/calculus.html

97. Calculus — Infoplease.com Encyclopedia calculus. calculus, branch of mathematics that studies continuously changing quantities. The calculus is characterized by the use of infinite processes, involving http://www.infoplease.com/ce6/sci/A0809858.html

98. Elementary Calculus An online book by H. Jerome Keisler. Covers differentiation, continuous functions, integration, limits, applications, infinite series, vector calculus and http://www.math.wisc.edu/~keisler/calc.html

Elementary Calculus: An Infinitesimal Approach This is a calculus textbook at the college Freshman level based on Abraham Robinson's infinitesimals, which date from 1960. Robinson's modern infinitesimal approach puts the intuitive ideas of the founders of the calculus on a mathematically sound footing, and is easier for beginners to understand than the more common approach via limits. This work is licensed for non-commercial use under a Creative Commons License A picture of the cover The whole book in one large file (25 megabytes) Single chapters in much smaller files: Preface to First and Second Editions Contents and Introduction Chapter 1 Real and Hyperreal Numbers Chapter 2 Differentiation Chapter 3 Continuous Functions Chapter 4 Integration Chapter 5 Limits, Analytic Geometry, and Approximations Chapter 6 Applications of the Integral Chapter 7 Trigonometric Functions Chapter 8 Exponential and Logarithmic Functions Chapter 9 Infinite Series Chapter 10 Vectors Chapter 11 Partial Differentiation Chapter 12 Multiple Integrals Chapter 13 Vector Calculus Chapter 14 Differential Equations Appendix and Index Epilogue

99. * Calculus Primer This is a clearly written tutorial with plenty of graphic aids. Meant as an introduction for nonspecialists. Covers many of the basics, including differentiation. http://www.arachnoid.com/calculus/

Home * Calculus Primer * Calculus Primer 02. A Moving Experience 03. Derivation 04. Integration 05. Volume 1 06. Volume 2 07. Differential Equations 08. Terminal Velocity 09. Nature's Math 10. Tools Share This Page Calculus Primer 1: Introduction P. Lutus Message Page P. Lutus (double-click any word to see its definition) Readers' Comments "I took Calculus many moons ago and it was not expressed the same way with the beauty you have given it." "I truly appreciate your Calculus pages. They are the best that I have seen ... not to say that this will get me an A in Calc. However, for a person who is over 16 years removed from algebra, geometry, trig, pre-calc. (high school). You explain things clearly and concisely, in laymans language. You are obviously brilliant, but unlike many mathematics educators, you connect to the student, and explain things in a way that almost anyone can grasp. Thank you for not explaining Calculus like a mathematican, but like an everyday person who wants others to understand what he has a passion about." "Your Calculus tutorial is a real joy for my 15 year old who is about to take on the challenge."

100. Topics In Integral And Differential Calculus Feb 16, 1998 Contains several applets illustrating fundamental concepts of singlevariable calculus. http://www.ma.utexas.edu/~kawasaki/mathPages.dir/

Portuguese Version: Acknowledgements: Prof. William F. Schelter Prof. Maorong Zou Sharewares used in these Pages: Several TCL Scripts written by Prof. W.F.Schelter mhtml by W.F. Schelter. This application produces Mathematics text in GIF format. lundin.SymbolicMath class library by Patrik Lundin. Interpreter for symbolic manipulation of mathematical expressions by Jens- Uwe Dolinsky. GIFs on the FLY Several Java applications written by the author. WebEQ 2.0HTML Mathematical Markup VRL's IMAGING MACHINE Java Packages JDK 1.1.4 Documentation ... Sun Microsystems Lab Comments? Suggestions? Write to: Teresinha Fumi Kawasaki Back to: UT Mathematics Department University of Texas at Austin Home This page has been visited times since February 16, 1998. Last modified:Nov 22, 2002 Topics in Integral and Differential Calculus: Functions: Introduction to Functions Polynomial Functions Rational Functions Trigonometric Functions Exercises Combinations of Functions Limits and Continuity: Limit of a Function Some Theorems on Limits Continuity Limits of Trigonometric Functions Differentiation: The Derivative Some Differentiating Trigonometric Functions Differentials; Newton-Raphson Approximations

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